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45368240 = 2451733359
BaseRepresentation
bin1010110100010…
…0001110110000
310011100221112012
42231010032300
543103240430
64300222052
71060423631
oct255041660
9104327465
1045368240
1123677915
121323a928
139526118
14604d888
153eb2695
hex2b443b0

45368240 has 40 divisors (see below), whose sum is σ = 111689280. Its totient is φ = 17079296.

The previous prime is 45368233. The next prime is 45368251. The reversal of 45368240 is 4286354.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×453682403 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45368197 and 45368206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15320 + ... + 18039.

It is an arithmetic number, because the mean of its divisors is an integer number (2792232).

Almost surely, 245368240 is an apocalyptic number.

45368240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45368240 is an abundant number, since it is smaller than the sum of its proper divisors (66321040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45368240 is a wasteful number, since it uses less digits than its factorization.

45368240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33389 (or 33383 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 45368240 is about 6735.5949997012. The cubic root of 45368240 is about 356.6569110597.

The spelling of 45368240 in words is "forty-five million, three hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 33359 66718 133436 166795 266872 333590 533744 567103 667180 1134206 1334360 2268412 2668720 2835515 4536824 5671030 9073648 11342060 22684120 45368240